In the previous section we study the attacker's optimal strategies upon distorting \(n\)  copies of the target system. In this section we study the quantum detector's detection performance on the \(n\) -fold product of the target system under adversaries. We first recall some fundamental theorems on large deviations of quantum hypothesis testing under adversary-free scenarios such as quantum Sanov's theorem [1]} and quantum Stein's lemma [2]}. In this section, we aim to develop a worst-case bound under the transformation of measures of the quantum states under each hypothesis.
